This incredible optical illusion shows how circular motion can result from linear motion! The reason we see the circle has to do with high school geometry. I explain why and give a formal mathematical proof in the video.\r<br>\r<br>My blog post for this video\r<br>\r<br>\r<br>Thanks to all Patrons! Special thanks to:\r<br>Kyle\r<br>Shrihari Puranik\r<br>Marlon Forbes\r<br>\r<br>If you like my videos, you can support me at Patreon: \r<br>\r<br>Sources\r<br>You can try it for yourself in this GeoGebra interive rolling circles. Set a = 6, b = 3, and remove the click mark for the outside circle. Mark the box for path or trace and click roll.\r<br>\r<br>\r<br>Copernicus Theorem proof\r<br>\r<br>\r<br>Proof from Lines and Curves: A Prical Geometry Handbook. \r<br>By Victor Gutenmacher, N.B. Vasilyev. Preview\r<br>\r<br>\r<br>Inscribed angle theorem\r<br>\r<br>\r<br>You can create this illusion in Powerpoint with a tutorial from the YouTube channel The Teacher:\r<br>\r<br>\r<br>Connect on social media. I update each site when I have a new video or blog post, so you can follow me on whichever method is most convenient for you.\r<br>\r<br>My Blog: \r<br>Twitter: \r<br>Facebook: \r<br>Google+: \r<br>Pinterest: \r<br>Tumblr: \r<br>Instagram: \r<br>Patreon: \r<br>\r<br>Newsletter (sent about 2 times a year): \r<br>\r<br>My Books\r<br>\r<br>The Joy of Game Theory shows how you can use math to out-think your competition. (rated 3.8/5 stars on 27 reviews) \r<br>\r<br>The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 5/5 stars on 2 reviews) \r<br>\r<br>Math Puzzles Volume 1 features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.4/5 stars on 13 reviews. \r<br>\r<br>Math Puzzles Volume 2 is a sequel book with more great problems. (rated 5/5 stars on 3 reviews) \r<br>\r<br>Math Puzzles Volume 3 is the third in the . (rated 5/5 stars on 3 reviews) \r<br>\r<br>40 Paradoxes in Logic, Probability, and Game Theory contains thought-provoking and counter-intuitive results. (rated 4.7/5 stars on 12 reviews) \r<br>\r<br>The Best Mental Math Tricks teaches how you can look like a math genius by solving problems in your head (rated 4.7/5 stars on 4 reviews) \r<br>\r<br>Multiply Numbers By Drawing Lines This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. (rated 5/5 stars on 3 reviews)
